The predefined definition in the app is the [math]\left(M-N\right)[/math].[br]The button at the bottom right of the app allows you to toggle between this definition and the definition based on neighborhoods.[br][br]Explore the definition step by step, then modify the intervals on the[i] y[/i]-axis and the values of [math]x[/math] in the interval in which the limit holds.
Apply the definition and state which of the following limits are correct:[br][br][math]\displaystyle{\lim_{x \to +\infty}(1+e^{2x}) = +\infty}[/math][br][br][math]\displaystyle{\lim_{x \to +\infty}log\frac{1}{1+x^2} = +\infty}[/math][br][br][math]\displaystyle{\lim_{x \to +\infty}e^{x^2} = +\infty}[/math]